We have some skylights and they measure 1.2m by 0.8m
Suppose both dimensions increase by 20%. What's the percent increase in
the amount of light admitted?
You have a newspaper the dimensions are
35cm by 38cm
they reduce the pages by 10%. There are 48 Pages in the newspaper,
daily circulation of 135,000.
Comp

In the questions below suppose the variable x represents students and the variable y represents courses, and A(y): y is an advanced course S(x): x is a sophomore F(x): x is a freshman T(x,y): x is taking y.
Write the statement using these predicates and any needed quantifiers.
a. There is a course that every freshman is

Let L be a subset of {a,b}*
Define a relation R (R sub L) on S* as follows:
L
for All of x, y is a member of S*,
(x,y) are members of R if for all of z, xz are members of L iff yz are members of L
A) Show that R is an equivalence relation
B) Suppose L={a^i b^i where i >= 0}
What can you say about the inde

Please see the attached file for the fully formatted problems.
1. Circle T for True or F for False as they apply to the following statements:
T F Every compound is either a tautology or a contradiction.
T F Integers are Rational.
T F The empty set has no subsets.
T F Onto functions map smaller sets to bigger sets.
T F

11) Use generating functions to determine the number of different ways 12 identical action figures can be given to five children so that each child receives at most three action figures.
12) Use generating functions to find the number of ways to select 10 balls from an urn containing red, white and blue balls if:
a. The

6. A string that contains only 0s 1s and 2s is called a ternary string
a) find a recurrence relation for the number of ternary strings that contain two consecutive 0s
b) what are the initial conditions
c) how many ternary strings of length six contain two consecutive 0s
The next 3 problems deal with a variation of the

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